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20.2\left(9x^{2}+24x+16\right)+5x\left(3x+4\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(3x+4\right)^{2}.
181.8x^{2}+484.8x+323.2+5x\left(3x+4\right)
Use the distributive property to multiply 20.2 by 9x^{2}+24x+16.
181.8x^{2}+484.8x+323.2+15x^{2}+20x
Use the distributive property to multiply 5x by 3x+4.
196.8x^{2}+484.8x+323.2+20x
Combine 181.8x^{2} and 15x^{2} to get 196.8x^{2}.
196.8x^{2}+504.8x+323.2
Combine 484.8x and 20x to get 504.8x.
20.2\left(9x^{2}+24x+16\right)+5x\left(3x+4\right)
Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(3x+4\right)^{2}.
181.8x^{2}+484.8x+323.2+5x\left(3x+4\right)
Use the distributive property to multiply 20.2 by 9x^{2}+24x+16.
181.8x^{2}+484.8x+323.2+15x^{2}+20x
Use the distributive property to multiply 5x by 3x+4.
196.8x^{2}+484.8x+323.2+20x
Combine 181.8x^{2} and 15x^{2} to get 196.8x^{2}.
196.8x^{2}+504.8x+323.2
Combine 484.8x and 20x to get 504.8x.